The Acme Battery Company has developed a new cell phone battery. On average, the battery lasts 60 minutes on a single charge. The standard deviation is 4 minutes. Suppose the manufacturing department runs a quality control test. They randomly select 7 batteries. The standard deviation of the selected batteries is 6 minutes. a. What would be the chi-square statistic represented by this test? b. What are the degrees of freedom for the chi-square statistic? c. Suppose they repeated the test with a new random sample of 7 batteries. What is the probability that the standard deviation in the new test would be greater than 6 minutes? (Use the applet)

Answers

Answer 1

Answer:

X² = 13.5

Degree of freedom = 6

0.04

Step-by-step explanation:

Give the following :

Number of samples (n) = 7

Population standard deviation (σ) =.4 minutes

Sample standard deviation (s) = 6

Mean battery life = 60 minutes

A) Chisquare (X²) :

X² = ((n - 1) * s²) / σ²

X² = ((7 - 1) * 6²) / 4²

X² = (6 * 6²) / 4²

X² = (6 * 36) / 16

X² = 216 / 16

X² = 13.5

B.) The degree of freedom:

degree of freedom = n - 1

Degree of freedom = 7 - 1 = 6

C.) using a chisquare distribution calculator :

With degree of freedom (df) = 6

X² = 13.5

Hence,

P(X² > 13.5) = 0.04 ( from calculator)


Related Questions

What is the percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%.
The percent decrease is 25%.
The percent decrease is 80%.
The percent decrease is 87%.

Answers

Answer:

according to me I think that the percentage decrease is 80% and this is how I got it I took 60 and subtracted it from 300 to get 240 then I took 240 over 300 * 100% and I got 80%

Step-by-step explanation:

the percent decrease is 87%

Which of the following does NOT represent a whole number?
9, 6.0, 12/4, -12/3 help plz

Answers

Answer:

-12/3

Step-by-step explanation:

Whole numbers can't be negative!

Answer:

d. your welcome

Step-by-step explanation:

-t+5=t-19
Need an answer and a work pls!

Answers

Answer:

t=12

Step-by-step explanation:

Step 1: Subtract t from both sides.

−t+5−t=t−19−t

−2t+5=−19

Step 2: Subtract 5 from both sides.

−2t+5−5=−19−5

−2t=−24

Step 3: Divide both sides by -2.

−2t−2=−24−2

please help me fill in da blanks to
answer dis annoyin question

Answers

Answer:

Step-by-step explanation:

b .  v vvhc . fhd

A car wash detailed 132 cars in 4 hours. How many cars did they detail per hour?

Answers

Answer:

33 Cars

Step-by-step explanation:

132 / 4 = 33

Therefore,

The answer is,

33 Cars

When five times a number is decreased by 9​, the result is 11. What is the​ number?

Answers

Answer

4

Step-by-step explanation:

Add 9 to 11, then divide that by 5.

Answer:

4

Step-by-step explanation:

work backwards 11+9 is 20. Divide 20 by 5 = 4

Without using a calculator, order the following numbers from least to greatest. square root of 149, 12, 11

Answers

Answer: 11,12,149

Step-by-step explanation:

Answer

Its 11, 12, 149

Step-by-step explanation

Square foot of 11 = 3.31662479036

Square foot of 12 = 3.46410161514

Square foot of 149 = 12.2065556157

Langston has 45 greeting cards. He gives 18 of the cards to his friend what present of his greeting card he does give to his friend

Answers

Answer:

it is 8.1

Step-by-step explanation:

Turn the 18 in to a percent first and then divide and it will turn into a decimal sorry im not to good at explaining so basically the answer is 18%

Langston gives his friend 40 % of his greeting card

The calculation can be done as follows

Langston has a total of 45 greeting cards

He gives his friends 18 cards

= 18/45

= 0.4 × 100

= 40%

Hence the percent of greeting cards he gives to his friend is 40%

Please see the ink below for more information

https://brainly.com/question/18601221?referrer=searchResults

The sweet shoppe sells a half dozen cupcake for $16.50. The cupcake factory sells a dozen cupcake for $30.00. Jameska purchases two cupcake from each shop what is the different in the purchases

Answers

Answer:

1.50 is the answer

Step-by-step explanation:

yeah I had it on a question yw

Answer:

eggffdf

Step-by-step explanation:

sfdsffgfddfdkkhsdghskjgfhjgdfjhdgdhdsdfh

Function P models the profit, P(x), a fitness company earns for making and selling x water bottles.

P(x) = -000.5(x + 40)(x - 20)(x - 200)(x + 5)

For which numbers of water bottles will the company's profit equal $0?

0
20
40
200
5

Answers

Answer:

The answer is 20 and 200.

Step-by-step explanation:

Given the formula below, solve for g.

Answers

Answer:

B is the answer

Step-by-step explanation:

Isolate the variable by dividing each side by the factors that don’t contain the variable.

Listed below are the 35 members of the Metro Toledo Automobile Dealers Association. We would like to estimate the mean revenue from dealer service departments. The members are identified by numbering them 00 through 34.

Answers

Answer:

Metro Toledo Automobile Dealers Association

a) The mean revenue

= Total Revenue from the dealer service departments/35

b) The sample of five include 27, 23, 32, 11,  and 13

c) Using systematic random sampling, the dealers included in the sample are: 7, 13, 19, 25, and 31.

Step-by-step explanation:

a) The mean value is the total value divided by the number of elements. The mean revenue is, therefore, the total revenue from the dealer service departments divided by the number of dealers.  This gives an average revenue from each dealer, which is a statistic to describe the population.

b) The sample of five cannot include any number that is outside the population.  For example, 85 is not a number allocated to any dealer in the indicated population, therefore, it cannot form part of the population sample.

c) The systematic random sampling starts from 7 and chooses the sixth number after 7.  Therefore, the next four numbers are multiples of 6.  This is why we choose 13, 19, 25, and 31.

Y-intercept:(??,??)
X-intercept: (??,??)

Answers

Answer:

the y-intercept is 2.5 or 2 and 1/2

the x-intercept is 3.5 or 3 and 1/5

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

Y- 3 and X-4 Is the intercepts

PLEASE HELP
For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population did NOT wear their school colors?
Here are the answer choices


A.
15%

B.
20%

C.
25%

D.
33%

Answers

Answer:

C.  25% The correct answer is C. 300 divided by 1200 equals 25%.

Step-by-step explanation:

Answer:

B.) 20%

Step-by-step explanation:

First, add 1,200 and 300. That gives you 1,500. You want to find how much percent of 1,500 equals 300, and that is 20%.

Evaluate using order of operation and please show work​

Answers

Answer:

10

Step-by-step explanation:

Given expression:

                   20 - [tex]\frac{15 + 3(5)^{2} }{5^{2} - 4^{2} }[/tex]

     To solve this problem, we use the order of operation:

P - Parentheses

E - exponents

M - multiplication

D - division

A - Addition

S - Subtraction

  Now solve the parentheses first;

     =   20 - [tex]\frac{15 + 3x 25}{5^{2} - 4^{2} }[/tex]

     =    20 - [tex]\frac{15 + 75}{5^{2} - 4^{2} }[/tex]

     Now solve the exponents:

    = 20 - [tex]\frac{15 + 75}{25 - 16}[/tex]

    Now solve the division:

     = 20 - [tex]\frac{90}{9}[/tex]

     = 20 - 10

     = 10

Use the number line below, where RS=9y+2, ST=2y+6, and RT= 52

Answers

Answer:

Step-by-step explanation:

Given

RS=9y+2, ST=2y+6, and RT= 52

The addition postulate is true for the number line.

RS+ST = RT

Substitute

9y+2+(2y+6) = 52

9y+2y+8 = 52

11y = 52-8

11y = 44

y = 44/11

y = 4

Find RS

RS = 9y+2

RS = 9(4)+2

RS = 36+2

RS = 38

Find ST:

ST = 2y+6

ST = 2(4)+6

ST = 8+6

ST = 14

Hence y = 4, RS = 38 and ST = 14

Question 3 of 5
In which pair do both decimals represent rational numbers?
O A. 0.752 and 0.232323...
OB. 8.3182706837521... and 0.752
O C. 4.32891789376287184... and 0.2323
O D. 8.3182706837521... and 0.232323...

Answers

Answer:

A. 0.752 and 0.232323...

Step-by-step explanation:

A rational number is a number that can be expressed as a ratio. That is, it can be written as a quotient of two integers. A rational number can have a terminating decimal. E.g. 0.5, which can be expressed as ½ or 1:2. This is a terminating decimal. Also, a rational number could be a number that has repeating decimal that keeps repeating forever. E.g. 0.333... which can be expressed as ⅓, or 1:3.

An irrational number is just the opposite of a rational number. Thus, am irrational number cannot be expressed as ratio, and also has a decimal that goes on forever without repeating. For example, π = 22/7 = 3.14159... it has no definite ratio.

From these explanation we can easily pick out which pair that has both decimals representing rational numbers.

Thus, the answer is A. 0.752 and 0.232323...

0.752 is a terminating decimal, therefore it is a rational number.

0.232323... is a non-terminating decimal, however, its decimal is a repeating decimal. Therefore, it is a rational number.

Answer:

The answer is A 0.725 and 0.232323...

Step-by-step explanation:

solve the following quadratic equation using the quadratic formula -2x^2-3x+4=0​

Answers

The answer is on the picture!

455.4 is 66% of what number

Answers

Answer:

690

Step-by-step explanation:

I need help ASAP!! Please

Answers

Answer:

26.31

Step-by-step explanation:

You just have to count up the shapes in each place.

hey need help on this please <3

Answers

Answer:

i believe the answer youre searching for is D

Lisa,Amy and Pete decided to race up the stairs that has 24 steps.Lisa takes 2 steps Every Second,Amy takes 3 steps every second. If pete starts at the bottom,what should lisa and amy start on so that all three finish in a tie? please help with strategy.

Answers

Answer:

How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back

4. Mr. Fernandez has a monthly pay of P 5,450. The tax deducted from
his monthly salary is 543.00. What is the actual pay he receives in a
year?
pls i need a solution

any one who can answer this a will brainlyies answer

Answers

Answer:

P58,884

Step-by-step explanation:

Given that the monthly pay is P5,450.

let us deduct the tax from the monthly pay

=5,450-543.00.

=4907

Therefore the actual monthly pay is 4907

there are 12 months in a year.

therefore the annual actual pay is 4907X12

=P58884

Simon bought three plants at a nursery for 17.94 how hutch money would it cost for Simon to go back to the store and buy two more plants. Please help me !

Answers

Answer:

11-96

Step-by-step explanation:

The money required for Simon to buy two more plants is 11.96

What is Average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Given data ,

Number of plants Simon bought = 3 plants

Total amount of plants = 17.94

Amount for one plant = Total amount of plants / Number of plants bought

So , Amount for one plant = 17.94 / 3

                                           = 5.98

Therefore , Amount of cost for Simon to buy two more plants = Amount of one plant x 5.98

= 5.98 x 2

= 11.96

Hence , The money required for Simon to buy two more plants is 11.96

To learn more about Average , click :

https://brainly.com/question/20050077


#SPJ2

Each class was given 225 glue sticks there are 22 classes so how many do each class get

Answers

Answer: 10.2272727273

Step-by-step explanation:

Answer:

Each class = 225 glue sticks

22 classes = 225*25  

                   = 5625 glue sticks

What is the better buy on a camera with a retail price of $730

Answers

Answer:

you need another camera in order for us to know

Step-by-step explanation:

Find the x and y- intercepts of 3x + 12y = 36.

Answers

Answer:

x intercept-

12,0

y intercept-

0,3

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s):

(12,0)

y-intercept(s):

(0,3)

Help me pleaseee, will mark the Brainliest !

Answers

Answer:

96

Step-by-step explanation:

Answer:96ft explanation;

can someone help me with this problem

Answers

Im just answering so i can be able to message ignore me lol

A recipe calls for 1/3 cup of oil and 1/4 cup of milk. Find a fraction to represent the total amount or liquids in
the recipe

Answers

1 cup of milk is used with
3
4
cup of water
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